Hybrid imperialist competitive-sequential quadratic programming (HIC-SQP) algorithm for solving economic load dispatch with incorporating stochastic wind power: A comparative study on heuristic optimization techniques

Abstract The paper presents a new method based on a hybrid algorithm consisting of imperialist competitive algorithm (ICA) and sequential quadratic programming (SQP) technique to solve the power system economic load dispatch (ELD) problem. ICA could be taken into account as a powerful technique. Nevertheless, it may be trapped in local optima especially when numbers of imperialists increase. To alleviate this drawback, SQP is used to fine-tune the results of ICA to increase confidence in the solution. Renewable sources and wind energy especially have recently been getting more interest because of various environmental and economical considerations. So, wind power is included in the problem formulation. The incomplete gamma function (IGF) is used to characterize the impact of wind power. The hybrid imperialist competitive algorithm (ICA) and sequential quadratic programming (SQP) technique (HIC-SQP) is applied to solve economic load dispatch with incorporating stochastic wind power. To evaluate its effectiveness, the proposed method is tested on various power systems with 6, 13, 15, and 40 power plants with and without wind power. Simulation results of proposed method are compared with state-of-the-art heuristic optimization methods. It can be clearly seen that the proposed method improves the solution of ELD problem.

[1]  Taher Niknam,et al.  An efficient hybrid algorithm based on modified imperialist competitive algorithm and K-means for data clustering , 2011, Eng. Appl. Artif. Intell..

[2]  Waree Kongprawechnon,et al.  Ant colony optimisation for economic dispatch problem with non-smooth cost functions , 2010 .

[3]  Rahmat-Allah Hooshmand,et al.  Emission, reserve and economic load dispatch problem with non-smooth and non-convex cost functions using the hybrid bacterial foraging-Nelder–Mead algorithm , 2012 .

[4]  Sanjoy Mandal,et al.  Economic load dispatch using krill herd algorithm , 2014 .

[5]  Serdar Özyön,et al.  Incremental artificial bee colony with local search to economic dispatch problem with ramp rate limits and prohibited operating zones , 2013 .

[6]  Tharam S. Dillon,et al.  Experimental study of a new hybrid PSO with mutation for economic dispatch with non-smooth cost function , 2010 .

[7]  Mahdi Pourakbari-Kasmaei,et al.  An effortless hybrid method to solve economic load dispatch problem in power systems , 2011 .

[8]  J.G. Vlachogiannis,et al.  Economic Load Dispatch—A Comparative Study on Heuristic Optimization Techniques With an Improved Coordinated Aggregation-Based PSO , 2009, IEEE Transactions on Power Systems.

[9]  A. Selvakumar,et al.  A New Particle Swarm Optimization Solution to Nonconvex Economic Dispatch Problems , 2007, IEEE Transactions on Power Systems.

[10]  N. Amjady,et al.  Nonconvex Economic Dispatch With AC Constraints by a New Real Coded Genetic Algorithm , 2009, IEEE Transactions on Power Systems.

[11]  Cheng-Chien Kuo,et al.  A Novel Coding Scheme for Practical Economic Dispatch by Modified Particle Swarm Approach , 2008, IEEE Transactions on Power Systems.

[12]  H. Shayeghi,et al.  A modified artificial bee colony based on chaos theory for solving non-convex emission/economic dispatch , 2014 .

[13]  Wilsun Xu,et al.  Minimum Emission Dispatch Constrained by Stochastic Wind Power Availability and Cost , 2010, IEEE Transactions on Power Systems.

[14]  Chun-Lung Chen,et al.  Optimal power flow of a wind-thermal generation system , 2014 .

[15]  Ebrahim Babaei,et al.  ECONOMIC LOAD DISPATCH USING ?-PSO , 2013 .

[16]  Abbas Rabiee,et al.  Time-varying acceleration coefficients IPSO for solving dynamic economic dispatch with non-smooth cost function , 2012 .

[17]  P. K. Chattopadhyay,et al.  Solving complex economic load dispatch problems using biogeography-based optimization , 2010, Expert Syst. Appl..

[18]  Jinfu Chen,et al.  Polyphyletic migration operator and orthogonal learning aided biogeography-based optimization for dynamic economic dispatch with valve-point effects , 2014 .

[19]  Serdar Özyön,et al.  Solution to non-convex economic dispatch problem with valve point effects by incremental artificial bee colony with local search , 2013, Appl. Soft Comput..

[20]  Lixiang Li,et al.  A hybrid CPSO–SQP method for economic dispatch considering the valve-point effects , 2012 .

[21]  P. K. Chattopadhyay,et al.  Hybrid Differential Evolution With Biogeography-Based Optimization for Solution of Economic Load Dispatch , 2010, IEEE Transactions on Power Systems.

[22]  Vahid Vahidinasab,et al.  A modified harmony search method for environmental/economic load dispatch of real-world power systems , 2014 .

[23]  H. Iba,et al.  Differential evolution for economic load dispatch problems , 2008 .

[24]  Taher Niknam,et al.  Probabilistic multiobjective wind-thermal economic emission dispatch based on point estimated method , 2012 .

[25]  R. Arul,et al.  Chaotic self-adaptive differential harmony search algorithm based dynamic economic dispatch , 2013 .

[26]  Xiaohui Yuan,et al.  An improved artificial physical optimization algorithm for dynamic dispatch of generators with valve-point effects and wind power , 2014 .

[27]  P. K. Chattopadhyay,et al.  Solution of Economic Power Dispatch Problems Using Oppositional Biogeography-based Optimization , 2010 .

[28]  Rahmat-Allah Hooshmand,et al.  Design of a robust load frequency control using sequential quadratic programming technique , 2012 .

[29]  Osvaldo R. Saavedra,et al.  REPLY - CONCERNING THE COMMENTS ON 'EFFICIENT EVOLUTIONARY STRATEGY OPTIMISATION PROCEDURE TO SOLVE THE NONCONVEX ECONOMIC DISPATCH ROBLEM WITH GENERATOR CONSTRAINTS' , 2007 .

[30]  Hosein Shayeghi,et al.  Technical–economic analysis of including wind farms and HFC to solve hybrid TNEM–RPM problem in the deregulated environment , 2014 .

[31]  Manoj Kumar Tiwari,et al.  A clonal algorithm to solve economic load dispatch , 2007 .

[32]  M. Pandit,et al.  Self-Organizing Hierarchical Particle Swarm Optimization for Nonconvex Economic Dispatch , 2008, IEEE Transactions on Power Systems.

[33]  C.-L. Chiang,et al.  Genetic-based algorithm for power economic load dispatch , 2007 .

[34]  Kamran Rezaie,et al.  Solving the integrated product mix-outsourcing problem using the Imperialist Competitive Algorithm , 2010, Expert Syst. Appl..

[35]  Hadi Saadat,et al.  Power Systems Analysis , 2002 .

[36]  Jong-Bae Park,et al.  An Improved Particle Swarm Optimization for Nonconvex Economic Dispatch Problems , 2010 .

[37]  Z. Dong,et al.  Quantum-Inspired Particle Swarm Optimization for Valve-Point Economic Load Dispatch , 2010, IEEE Transactions on Power Systems.

[38]  Zahra Nasiri-Gheidari,et al.  Application of an imperialist competitive algorithm to the design of a linear induction motor , 2010 .

[39]  Osvaldo R. Saavedra,et al.  EFFICIENT EVOLUTIONARY STRATEGY OPTIMISATION PROCEDURE TO SOLVE THE NONCONVEX ECONOMIC DISPATCH PROBLEM WITH GENERATOR CONSTRAINTS , 2005 .

[40]  Jan K. Sykulski,et al.  A hybrid GA–PS–SQP method to solve power system valve-point economic dispatch problems , 2010 .

[41]  Weerakorn Ongsakul,et al.  STOCHASTIC WEIGHT TRADE-OFF PARTICLE SWARM OPTIMIZATION FOR NONCONVEX ECONOMIC DISPATCH , 2013 .

[42]  Bijaya Ketan Panigrahi,et al.  Adaptive particle swarm optimization approach for static and dynamic economic load dispatch , 2008 .

[43]  Amin Hadidi,et al.  A new design approach for shell-and-tube heat exchangers using imperialist competitive algorithm (ICA) from economic point of view , 2013 .

[44]  Abbas Rabiee,et al.  Imperialist competitive algorithm for solving non-convex dynamic economic power dispatch , 2012 .

[45]  A. Chowdhury,et al.  Cuckoo search algorithm for economic dispatch , 2013 .

[46]  Ahad Kazemi,et al.  A Benders decomposition approach for a combined heat and power economic dispatch , 2013 .

[47]  Bijaya Ketan Panigrahi,et al.  Bacterial foraging optimisation: Nelder-Mead hybrid algorithm for economic load dispatch , 2008 .